e874ae142a 2015-07-10        kinaba: #include <iostream>
e874ae142a 2015-07-10        kinaba: #include <sstream>
e874ae142a 2015-07-10        kinaba: #include <iomanip>
e874ae142a 2015-07-10        kinaba: #include <vector>
e874ae142a 2015-07-10        kinaba: #include <string>
e874ae142a 2015-07-10        kinaba: #include <map>
e874ae142a 2015-07-10        kinaba: #include <set>
e874ae142a 2015-07-10        kinaba: #include <algorithm>
e874ae142a 2015-07-10        kinaba: #include <numeric>
e874ae142a 2015-07-10        kinaba: #include <iterator>
e874ae142a 2015-07-10        kinaba: #include <functional>
e874ae142a 2015-07-10        kinaba: #include <complex>
e874ae142a 2015-07-10        kinaba: #include <queue>
e874ae142a 2015-07-10        kinaba: #include <stack>
e874ae142a 2015-07-10        kinaba: #include <cmath>
e874ae142a 2015-07-10        kinaba: #include <cassert>
e874ae142a 2015-07-10        kinaba: #include <tuple>
e874ae142a 2015-07-10        kinaba: using namespace std;
e874ae142a 2015-07-10        kinaba: typedef long long LL;
e874ae142a 2015-07-10        kinaba: typedef complex<double> CMP;
e874ae142a 2015-07-10        kinaba: 
e874ae142a 2015-07-10        kinaba: class Balance { public:
e874ae142a 2015-07-10        kinaba: 	string canTransform(vector <string> initial, vector <string> target)
e874ae142a 2015-07-10        kinaba: 	{
e874ae142a 2015-07-10        kinaba: 		auto ti = gen_tree(initial);
e874ae142a 2015-07-10        kinaba: 		auto tt = gen_tree(target);
e874ae142a 2015-07-10        kinaba: 		return tree_eq(ti, tt) ? "Possible" : "Impossible";
e874ae142a 2015-07-10        kinaba: 	}
e874ae142a 2015-07-10        kinaba: 
e874ae142a 2015-07-10        kinaba: 	vector<vector<int>> gen_tree(vector<string> s) {
e874ae142a 2015-07-10        kinaba: 		s.push_back(string(s[0].size(), '#'));
e874ae142a 2015-07-10        kinaba: 		s.insert(s.begin(), string(s[0].size(), '#'));
e874ae142a 2015-07-10        kinaba: 		for(auto& si: s)
e874ae142a 2015-07-10        kinaba: 			si = '#'+si+'#';
e874ae142a 2015-07-10        kinaba: 
e874ae142a 2015-07-10        kinaba: 		const int H = s.size(), W = s[0].size();
e874ae142a 2015-07-10        kinaba: 		const int NOTYET = 0x7fffffff;
e874ae142a 2015-07-10        kinaba: 
e874ae142a 2015-07-10        kinaba: 		vector<vector<int>> tree;
e874ae142a 2015-07-10        kinaba: 		vector<vector<int>> parent_cand(H, vector<int>(W, -1));
e874ae142a 2015-07-10        kinaba: 		vector<vector<int>> color(H, vector<int>(W, NOTYET));
e874ae142a 2015-07-10        kinaba: 		for(int y=0; y<H; ++y)
e874ae142a 2015-07-10        kinaba: 		for(int x=0; x<W; ++x)
e874ae142a 2015-07-10        kinaba: 		if(color[y][x]==NOTYET) {
e874ae142a 2015-07-10        kinaba: 			const char ME = s[y][x];
e874ae142a 2015-07-10        kinaba: 			int newId = tree.size();
e874ae142a 2015-07-10        kinaba: 			tree.resize(newId+1);
e874ae142a 2015-07-10        kinaba: 
e874ae142a 2015-07-10        kinaba: 			// BFS
e874ae142a 2015-07-10        kinaba: 			set<int> tonari;
e874ae142a 2015-07-10        kinaba: 
e874ae142a 2015-07-10        kinaba: 			queue<pair<int,int>> Q;
e874ae142a 2015-07-10        kinaba: 			color[y][x] = newId;
e874ae142a 2015-07-10        kinaba: 			Q.emplace(y, x);
e874ae142a 2015-07-10        kinaba: 			while(!Q.empty()) {
e874ae142a 2015-07-10        kinaba: 				int yy = Q.front().first;
e874ae142a 2015-07-10        kinaba: 				int xx = Q.front().second;
e874ae142a 2015-07-10        kinaba: 				Q.pop();
e874ae142a 2015-07-10        kinaba: 
e874ae142a 2015-07-10        kinaba: 				int dx[] = {-1,+1,0,0};
e874ae142a 2015-07-10        kinaba: 				int dy[] = {0,0,-1,+1};
e874ae142a 2015-07-10        kinaba: 				for(int d=0; d<4; ++d) {
e874ae142a 2015-07-10        kinaba: 					int y2 = yy+dy[d];
e874ae142a 2015-07-10        kinaba: 					int x2 = xx+dx[d];
e874ae142a 2015-07-10        kinaba: 					if(0<=x2&&x2<W&&0<=y2&&y2<H) {
e874ae142a 2015-07-10        kinaba: 						if(s[y2][x2]==ME&&color[y2][x2]==NOTYET) {
e874ae142a 2015-07-10        kinaba: 							color[y2][x2] = newId;
e874ae142a 2015-07-10        kinaba: 							Q.emplace(y2, x2);
e874ae142a 2015-07-10        kinaba: 						}
e874ae142a 2015-07-10        kinaba: 						if(s[y2][x2]!=ME&&color[y2][x2]!=NOTYET) {
e874ae142a 2015-07-10        kinaba: 							tonari.insert(color[y2][x2]);
e874ae142a 2015-07-10        kinaba: 						}
e874ae142a 2015-07-10        kinaba: 					}
e874ae142a 2015-07-10        kinaba: 				}
e874ae142a 2015-07-10        kinaba: 			}
e874ae142a 2015-07-10        kinaba: 			if(tonari.size() == 1)
e874ae142a 2015-07-10        kinaba: 				tree[*tonari.begin()].push_back(newId);
e874ae142a 2015-07-10        kinaba: 		}
e874ae142a 2015-07-10        kinaba: 		return tree;
e874ae142a 2015-07-10        kinaba: 	}
e874ae142a 2015-07-10        kinaba: 
e874ae142a 2015-07-10        kinaba: 	map<vector<int>, int> hashId;
e874ae142a 2015-07-10        kinaba: 	bool tree_eq(const vector<vector<int>>& a, const vector<vector<int>>& b)
e874ae142a 2015-07-10        kinaba: 	{
e874ae142a 2015-07-10        kinaba: 		return hash(a,0) == hash(b,0);
e874ae142a 2015-07-10        kinaba: 	}
e874ae142a 2015-07-10        kinaba: 
e874ae142a 2015-07-10        kinaba: 	int hash(const vector<vector<int>>& a, int r)
e874ae142a 2015-07-10        kinaba: 	{
e874ae142a 2015-07-10        kinaba: 		vector<int> ch;
e874ae142a 2015-07-10        kinaba: 		for(int v: a[r])
e874ae142a 2015-07-10        kinaba: 			ch.push_back(hash(a, v));
e874ae142a 2015-07-10        kinaba: 		sort(ch.begin(), ch.end());
e874ae142a 2015-07-10        kinaba: 		if(hashId.count(ch))
e874ae142a 2015-07-10        kinaba: 			return hashId[ch];
e874ae142a 2015-07-10        kinaba: 		int v = hashId.size();
e874ae142a 2015-07-10        kinaba: 		return hashId[ch] = v;
e874ae142a 2015-07-10        kinaba: 	}
e874ae142a 2015-07-10        kinaba: };
e874ae142a 2015-07-10        kinaba: 
e874ae142a 2015-07-10        kinaba: // BEGIN CUT HERE
e874ae142a 2015-07-10        kinaba: #include <ctime>
e874ae142a 2015-07-10        kinaba: double start_time; string timer()
e874ae142a 2015-07-10        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
e874ae142a 2015-07-10        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
e874ae142a 2015-07-10        kinaba:  { os << "{ ";
e874ae142a 2015-07-10        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
e874ae142a 2015-07-10        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
e874ae142a 2015-07-10        kinaba: void verify_case(const string& Expected, const string& Received) {
e874ae142a 2015-07-10        kinaba:  bool ok = (Expected == Received);
e874ae142a 2015-07-10        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
e874ae142a 2015-07-10        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
e874ae142a 2015-07-10        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
e874ae142a 2015-07-10        kinaba: #define END	 verify_case(_, Balance().canTransform(initial, target));}
e874ae142a 2015-07-10        kinaba: int main(){
e874ae142a 2015-07-10        kinaba: 
e874ae142a 2015-07-10        kinaba: CASE(0)
e874ae142a 2015-07-10        kinaba: 	string initial_[] = {"#"};
e874ae142a 2015-07-10        kinaba: 	  vector <string> initial(initial_, initial_+sizeof(initial_)/sizeof(*initial_));
e874ae142a 2015-07-10        kinaba: 	string target_[] = {"."};
e874ae142a 2015-07-10        kinaba: 	  vector <string> target(target_, target_+sizeof(target_)/sizeof(*target_));
e874ae142a 2015-07-10        kinaba: 	string _ = "Impossible";
e874ae142a 2015-07-10        kinaba: END
e874ae142a 2015-07-10        kinaba: CASE(1)
e874ae142a 2015-07-10        kinaba: 	string initial_[] = {"..",
e874ae142a 2015-07-10        kinaba:  ".."};
e874ae142a 2015-07-10        kinaba: 	  vector <string> initial(initial_, initial_+sizeof(initial_)/sizeof(*initial_));
e874ae142a 2015-07-10        kinaba: 	string target_[] = {".#",
e874ae142a 2015-07-10        kinaba:  "##"};
e874ae142a 2015-07-10        kinaba: 	  vector <string> target(target_, target_+sizeof(target_)/sizeof(*target_));
e874ae142a 2015-07-10        kinaba: 	string _ = "Possible";
e874ae142a 2015-07-10        kinaba: END
e874ae142a 2015-07-10        kinaba: CASE(2)
e874ae142a 2015-07-10        kinaba: 	string initial_[] = {"...",
e874ae142a 2015-07-10        kinaba:  ".#.",
e874ae142a 2015-07-10        kinaba:  "..."};
e874ae142a 2015-07-10        kinaba: 	  vector <string> initial(initial_, initial_+sizeof(initial_)/sizeof(*initial_));
e874ae142a 2015-07-10        kinaba: 	string target_[] = {"###",
e874ae142a 2015-07-10        kinaba:  "#.#",
e874ae142a 2015-07-10        kinaba:  "###"};
e874ae142a 2015-07-10        kinaba: 	  vector <string> target(target_, target_+sizeof(target_)/sizeof(*target_));
e874ae142a 2015-07-10        kinaba: 	string _ = "Impossible";
e874ae142a 2015-07-10        kinaba: END
e874ae142a 2015-07-10        kinaba: CASE(3)
e874ae142a 2015-07-10        kinaba: 	string initial_[] = {".#.#.......",
e874ae142a 2015-07-10        kinaba:  "####.###...",
e874ae142a 2015-07-10        kinaba:  ".....####..",
e874ae142a 2015-07-10        kinaba:  "..##.#.##.#",
e874ae142a 2015-07-10        kinaba:  ".##..#.##.#",
e874ae142a 2015-07-10        kinaba:  ".#######...",
e874ae142a 2015-07-10        kinaba:  ".#....###.#",
e874ae142a 2015-07-10        kinaba:  ".##.#.#....",
e874ae142a 2015-07-10        kinaba:  "..#...#...#",
e874ae142a 2015-07-10        kinaba:  "..#####...#",
e874ae142a 2015-07-10        kinaba:  "..........."};
e874ae142a 2015-07-10        kinaba: 	  vector <string> initial(initial_, initial_+sizeof(initial_)/sizeof(*initial_));
e874ae142a 2015-07-10        kinaba: 	string target_[] = {"...........",
e874ae142a 2015-07-10        kinaba:  ".###....#..",
e874ae142a 2015-07-10        kinaba:  ".#.#..#....",
e874ae142a 2015-07-10        kinaba:  ".###.......",
e874ae142a 2015-07-10        kinaba:  ".#####.....",
e874ae142a 2015-07-10        kinaba:  ".#...#####.",
e874ae142a 2015-07-10        kinaba:  ".#.#.....#.",
e874ae142a 2015-07-10        kinaba:  ".#.#####.#.",
e874ae142a 2015-07-10        kinaba:  ".#.......#.",
e874ae142a 2015-07-10        kinaba:  ".#########.",
e874ae142a 2015-07-10        kinaba:  "..........."};
e874ae142a 2015-07-10        kinaba: 	  vector <string> target(target_, target_+sizeof(target_)/sizeof(*target_));
e874ae142a 2015-07-10        kinaba: 	string _ = "Impossible";
e874ae142a 2015-07-10        kinaba: END
e874ae142a 2015-07-10        kinaba: CASE(4)
e874ae142a 2015-07-10        kinaba: 	string initial_[] = {".....",
e874ae142a 2015-07-10        kinaba:  ".###.",
e874ae142a 2015-07-10        kinaba:  ".....",
e874ae142a 2015-07-10        kinaba:  ".###.",
e874ae142a 2015-07-10        kinaba:  "....."};
e874ae142a 2015-07-10        kinaba: 	  vector <string> initial(initial_, initial_+sizeof(initial_)/sizeof(*initial_));
e874ae142a 2015-07-10        kinaba: 	string target_[] = {".....",
e874ae142a 2015-07-10        kinaba:  ".#.#.",
e874ae142a 2015-07-10        kinaba:  ".#.#.",
e874ae142a 2015-07-10        kinaba:  ".#.#.",
e874ae142a 2015-07-10        kinaba:  "....."};
e874ae142a 2015-07-10        kinaba: 	  vector <string> target(target_, target_+sizeof(target_)/sizeof(*target_));
e874ae142a 2015-07-10        kinaba: 	string _ = "Possible";
e874ae142a 2015-07-10        kinaba: END
e874ae142a 2015-07-10        kinaba: /*
e874ae142a 2015-07-10        kinaba: CASE(5)
e874ae142a 2015-07-10        kinaba: 	string initial_[] = ;
e874ae142a 2015-07-10        kinaba: 	  vector <string> initial(initial_, initial_+sizeof(initial_)/sizeof(*initial_));
e874ae142a 2015-07-10        kinaba: 	string target_[] = ;
e874ae142a 2015-07-10        kinaba: 	  vector <string> target(target_, target_+sizeof(target_)/sizeof(*target_));
e874ae142a 2015-07-10        kinaba: 	string _ = ;
e874ae142a 2015-07-10        kinaba: END
e874ae142a 2015-07-10        kinaba: CASE(6)
e874ae142a 2015-07-10        kinaba: 	string initial_[] = ;
e874ae142a 2015-07-10        kinaba: 	  vector <string> initial(initial_, initial_+sizeof(initial_)/sizeof(*initial_));
e874ae142a 2015-07-10        kinaba: 	string target_[] = ;
e874ae142a 2015-07-10        kinaba: 	  vector <string> target(target_, target_+sizeof(target_)/sizeof(*target_));
e874ae142a 2015-07-10        kinaba: 	string _ = ;
e874ae142a 2015-07-10        kinaba: END
e874ae142a 2015-07-10        kinaba: */
e874ae142a 2015-07-10        kinaba: 
e874ae142a 2015-07-10        kinaba: }
e874ae142a 2015-07-10        kinaba: // END CUT HERE